Question

select the statement that explains one difference between the graphs

Answer 1

Given:

The functions are,

$f(x)=5x^2$

and

$g(x)=\frac{1}{5}x^2$

Explanation:

Plot the functions on the graph.

From the graph it can be observed that graph of g(x) is wider than te graph of f(x).

As the value of coefficient of square term decreases towards 0, then graph becomes more and more wider.

The graph of f(x) and g(x) open in same direction (upwards) and has same y-coordinate of vertex.

Thus answer is,

The graph of f(x) is narrower than the graph of g(x).